Lawrence B. Crowell said that he does not "... consider the Pioneer anomaly as anything worth considering. If this were evidence of new physics it should be impacting the Voyager crafts as well. ...".
No. That is not true.
According to a google cache of an Independent UK 23 September 2002...
rntsai said ".. garett only claims that it [ E8 physics ] works for 1 generation (Distiler
says it works for none). ...".
Jacques Distler said (over on n-category cafe):
"... The more general argument, that it’s impossible to get even 2 generations is independent of any of the details of...
Lawrence B. Crowell refers to "... a class of topological manifolds called E_8 manifolds, which are four dimensional manifolds whose intersection form ... is an E_8 lattice ...".
Garrett in his paper at 0711.0770 refers to "... an E8 principal bundle connection ... with "... a four...
Lawrence B. Crowell said "... the Lisi representation may then require a second E_8 with what might be called a "cross dualization" of particles and supersymmetric partners ...".
What kind of correspondence is there between "particles and supersymmetric partners"?
In my opinion, a 1-1...
I just checked the web and found that the "around August 2007" Iceland conference at which David Finkelstein heard Garrett Lisi was according to Garrett's CV web page at
http://sifter.org/~aglisi/Physics/CV.html
"... FQXi 2007 Inaugural Conference, 5/21-5/26/2007, Reykjavik, Iceland...
John G asked "... Have you talked to anyone at Georgia Tech about Garrett's paper or your paper based on Garrett's paper? ...".
Yes. Back in January 2008 I sent an email to David Finkelstein, who is physics professor emeritus at Georgia Tech, saying in part
"... when Garrett Lisi's E8...
Wondering what had been said in arXiv papers about Garrett's paper 0711.0770, I did a citebase search and found 4 papers citing Garrett's paper:
1 - 0711.3248 [hep-th] by Tibra Ali and Gerald B. Cleaver of Baylor University, in which they said
"... In passing we note that the decomposition...
According to various web pages
Kostant gave a talk with the same title
"On some mathematical of the background to Garrett Lisi's " E(8) Theory of Everything"
and the same abstract
"A physicist , Garrett Lisi, has published a highly controversal, but fascinating, paper purporting to go...
As to Amazon digital books, see
https://www.amazon.com/gp/digital/sitb/help/learn.html/ref=amb_link_3912402_1?ie=UTF8&navbar=1&details=1&pf_rd_m=ATVPDKIKX0DER&pf_rd_s=center-2&pf_rd_r=1VEXNT04VN5RCQKNXTX9&pf_rd_t=101&pf_rd_p=257590701&pf_rd_i=293522011&tag=pfamazon01-20
or if that long...
I just went to the amazon.com page for the Conway and Sloane book
Sphere Packings, Lattices, and Groups
where I did see "Currently unavailable"
but
I also saw that I could for $19.80 order the book in digital form,
which let's you read the entire book by logging into amazon
so that you can...
Bowles asked "... What books do you recommend reading ... about Monster group, Leech lattice, exceptional Lie groups and all that stuff ... ? ...".
For the Leech lattice:
the book "Sphere Packings, Lattices, and Groups" by Conway and Sloane
the book "From Error-Correcting Codes Through...
Lawrence B. Crowell said "... 196560 ... is "close" to the 196884 ... but some where an additional 324 ... elements creep into the picture ...".
The Leech lattice has
3x240 + 3x16x240 + 3x16x16x240 =
= 720 + 11,520 + 184,320 = 196,560 units.
The 196,560 Leech lattice units...
Lawrence B. Crowell said "... the "third" E_8 ... defines the Leech lattice ... There are 196560 roots in this theory ... quantum cosmology might go all the way up to monster groups and moonshine ...".
James Lepowsky said in math.QA/0706.4072 that "... the Fischer-Griess Monster M ... was...
Kea said "... the 24d case of the Leech lattice might be associated to a 6d ... MUB problem, which is a famous unsolved case, because $d=6$ is not prime ...".
I think that is an important insight.
Since 6 = 2x3, MUB for 6d is sort of a hybrid of 2d and 3d.
You might look at the 3d part as...
rntsai asked "how?" is "GF(4) is the Dynkin diagram for the Lie Algebra D_4 = spin(8)".
I might not do as good a job as Lawrence B Crowell would do,
here is my attempt at showing "how?":
The Galois field GF(4) = {0,1,w,w^2}
where
w = (1/2)( - 1 + sqrt(3) i )
and
w^2 = (1/2)( -...